Resolvability of groups
| dc.contributor.author | Ndhlalane, Mororiseng | |
| dc.date.accessioned | 2024-05-16T09:51:28Z | |
| dc.date.available | 2024-05-16T09:51:28Z | |
| dc.date.issued | 2020 | |
| dc.description | A dissertation submitted to Faculty of Mathematics in conformity with the requirements for the degree of Master of Science at University of Witwatersrand, Johannesburg. 2022 | |
| dc.description.abstract | A topological group is called resolvable if it can be partitioned into two dense subsets. A group is absolutely resolvable if it can be partitioned into two subsets dense in any nondescript group topology. The aim of this dissertation is to give a unified exposition of some major results about resolvability of groups. In particular, we show that; 1. Every countable nondescript topological group not containing an open Boolean subgroup is resolvable, 2. Every infinite Abelian group not containing an infinite Boolean subgroup is absolutely resolvable. | |
| dc.description.librarian | PM2024 | |
| dc.faculty | Faculty of Science | |
| dc.identifier.uri | https://hdl.handle.net/10539/38478 | |
| dc.language.iso | en | |
| dc.publisher | University of the Witwatersrand, Johannesburg | |
| dc.rights | © 2020 University of the Witwatersrand, Johannesburg | |
| dc.rights.holder | University of the Witwatersrand, Johannesburg | |
| dc.school | School of Mathematics | |
| dc.subject | Resolvable topogical groups | |
| dc.subject | Omega-irresolvable groups | |
| dc.subject | Absolute resovability | |
| dc.subject.other | SDG-17: Partnerships for the goals | |
| dc.title | Resolvability of groups | |
| dc.type | Dissertation |